NOTE: If not specified, the intervalIis understood to be the entirexaxis.
Consider the boundary-value problem consisting of the differential equationy″ ″+2y″ + y=0plus the boundary conditions given. Does the problem have any solutions? If so, find them. Is the solution unique? HINT: A general solution of the differential equation isy = (C1+C2x)cos x +(C3+C4x)sins.
y(0) =y′(0) =y″(0) =0,y(π)=1
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